Question
John's Video Streaming charges $10 for membership and $1 for each movie download. Bob's Marvelous Movies charges $15 for a membership and $0.50 per movie download. Write a system of equations for this situation.
John's Video Streaming: y =
Question Blank 1 of 4
type your answer...
x +
Question Blank 2 of 4
type your answer...
Bob's Marvelous Movies: y =
Question Blank 3 of 4
type your answer...
x +
Question Blank 4 of 4
type your answer...
John's Video Streaming: y =
Question Blank 1 of 4
type your answer...
x +
Question Blank 2 of 4
type your answer...
Bob's Marvelous Movies: y =
Question Blank 3 of 4
type your answer...
x +
Question Blank 4 of 4
type your answer...
Answers
GPT-4o mini
To create a system of equations based on the given information about the streaming services, we can define the variables:
- Let \( x \) represent the number of movie downloads.
- Let \( y \) represent the total cost.
### For John's Video Streaming:
- The membership fee is $10.
- The cost per movie download is $1.
This gives us the equation:
\[
y = 1x + 10
\]
So, for your blanks:
- Question Blank 1 of 4: \( 1 \)
- Question Blank 2 of 4: \( 10 \)
### For Bob's Marvelous Movies:
- The membership fee is $15.
- The cost per movie download is $0.50.
This gives us the equation:
\[
y = 0.5x + 15
\]
So, for your blanks:
- Question Blank 3 of 4: \( 0.5 \)
- Question Blank 4 of 4: \( 15 \)
### Summary of the System of Equations:
1. John's Video Streaming: \( y = 1x + 10 \)
2. Bob's Marvelous Movies: \( y = 0.5x + 15 \)
- Let \( x \) represent the number of movie downloads.
- Let \( y \) represent the total cost.
### For John's Video Streaming:
- The membership fee is $10.
- The cost per movie download is $1.
This gives us the equation:
\[
y = 1x + 10
\]
So, for your blanks:
- Question Blank 1 of 4: \( 1 \)
- Question Blank 2 of 4: \( 10 \)
### For Bob's Marvelous Movies:
- The membership fee is $15.
- The cost per movie download is $0.50.
This gives us the equation:
\[
y = 0.5x + 15
\]
So, for your blanks:
- Question Blank 3 of 4: \( 0.5 \)
- Question Blank 4 of 4: \( 15 \)
### Summary of the System of Equations:
1. John's Video Streaming: \( y = 1x + 10 \)
2. Bob's Marvelous Movies: \( y = 0.5x + 15 \)